Resonant frequency of mass-loaded membranes for vibration energy harvesting applications

Lin Dong; Michael Grissom; Frank T. Fisher; Lin Dong; Michael Grissom; Frank T. Fisher

doi:10.3934/energy.2015.3.344

AIMS Energy

2015, Volume 3, Issue 3: 344-359. doi: 10.3934/energy.2015.3.344

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Research article Special Issues

Resonant frequency of mass-loaded membranes for vibration energy harvesting applications

1.
Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, USA;
2.
KCF Technologies, State College, PA 16801, USA

Received: 13 April 2015 Accepted: 05 August 2015 Published: 13 August 2015

Vibration based energy harvesting has been widely investigated to target ambient vibration sources as a means to generate small amounts of electrical energy. While cantilever-based geometries have been pursued frequently in the literature, here membrane-based geometries for the energy harvesting device is considered, with the effects of an added mass and tension on the effective resonant frequency of the membranes studied. An analytical model is developed to describe the vibration response for a circular membrane with added mass structure, with the results closely agreeing with finite element simulation in ANSYS. A complementary study of square membranes loaded with a central mass shows analogous behavior. The analytical model is then used to interpret the experimentally observed shift in resonance frequency of a circular membrane with a proof mass. The impact of membrane tension and central proof mass on the resonant frequency of the membrane suggests that this approach may be used as a tuning method to optimize the response of membrane-based designs for maximum power output for vibration energy harvesting applications.
- membrane,
- vibration,
- energy harvesting,
- frequency tuning
Citation: Lin Dong, Michael Grissom, Frank T. Fisher. Resonant frequency of mass-loaded membranes for vibration energy harvesting applications[J]. AIMS Energy, 2015, 3(3): 344-359. doi: 10.3934/energy.2015.3.344

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Abstract

Vibration based energy harvesting has been widely investigated to target ambient vibration sources as a means to generate small amounts of electrical energy. While cantilever-based geometries have been pursued frequently in the literature, here membrane-based geometries for the energy harvesting device is considered, with the effects of an added mass and tension on the effective resonant frequency of the membranes studied. An analytical model is developed to describe the vibration response for a circular membrane with added mass structure, with the results closely agreeing with finite element simulation in ANSYS. A complementary study of square membranes loaded with a central mass shows analogous behavior. The analytical model is then used to interpret the experimentally observed shift in resonance frequency of a circular membrane with a proof mass. The impact of membrane tension and central proof mass on the resonant frequency of the membrane suggests that this approach may be used as a tuning method to optimize the response of membrane-based designs for maximum power output for vibration energy harvesting applications.

References

[1]	Beeby SP, Tudor MJ, White NM (2006) Energy harvesting vibration sources for microsystems applications. Meas Sci Technol 17: R175-R195. doi: 10.1088/0957-0233/17/12/R01
[2]	Cook-Chennault KA, Thambi N, Sastry AM (2008) Powering MEMS portable devices—a review of non-regenerative and regenerative power supply systems with special emphasis on piezoelectric energy harvesting systems. Smart Mater Struct 17: 043001. doi: 10.1088/0964-1726/17/4/043001
[3]	Dutoit NE, Wardle BL, Kim SG (2005) Design considerations for MEMS-scale piezoelectric mechanical vibration energy harvesters. Integr Ferroelectr 71: 121-160. doi: 10.1080/10584580590964574
[4]	Harrop P, Das R (2010) IDTechEx Report: Energy harvesting and storage for electronic devices 2010-2020. IDTechEx. Ltda.
[5]	Roundy S, Wright PK, Rabaey J (2003) A study of low level vibrations as a power source for wireless sensor nodes. Comput Commun 26: 1131-1144. doi: 10.1016/S0140-3664(02)00248-7
[6]	Scheibner D, Mehner J, Reuter D, et al. (2005) A spectral vibration detection system based on tunable micromechanical resonators. Sensor Actuat A-Phys 123-124: 63-72. doi: 10.1016/j.sna.2005.03.034
[7]	Peters C, Maurath D, Schock W, et al. (2008) Novel electrically tunable mechanical resonator for energy harvesting. Proceedings of Power MEMS 2008 November 9-12, Sendai, Japan, 253-256.
[8]	Leland ES, Wright PK (2006) Resonance tuning of piezoelectric vibration energy scavenging generators using compressive axial preload. Smart Mater Struct 15: 1413-1420. doi: 10.1088/0964-1726/15/5/030
[9]	Challa VR, Prasad MG, Shi Y, et al. (2008) A vibration energy harvesting device with bidirectional resonance frequency tunability. Smart Mater Struct 17: 015035. doi: 10.1088/0964-1726/17/01/015035
[10]	Zhu D, Roberts S, Tudor MJ, et al. (2010) Design and experimental characterization of a tunable vibration-based electromagnetic micro-generator. Sensor Actuat A-Phys 158: 284-293. doi: 10.1016/j.sna.2010.01.002
[11]	Rezaeisaray M, Gowini MEI, Sameoto D, et al. (2015) Wide-bandwidth piezoelectric energy harvester with polymeric structure. J Micromech Microeng 25: 015018. doi: 10.1088/0960-1317/25/1/015018
[12]	Mo C, Davidson J, Clark WW (2014) Energy harvesting with piezoelectric circular membrane under pressure loading. Smart Mater Struct 23: 045005. doi: 10.1088/0964-1726/23/4/045005
[13]	Wang W, Yang T (2012) Vibration energy harvesting using a piezoelectric circular diaphragm array. IEEE T Ultrason Ferr 59: 2022-2026. doi: 10.1109/TUFFC.2012.2422
[14]	Williams CB, Yates RB (1996) Analysis of a micro-electric generator for microsystems. Sensor Actuat A-Phys 52: 8-11. doi: 10.1016/0924-4247(96)80118-X
[15]	Fletcher NH (1992) Acoustic Systems in Biology. New York: Oxford University Press, Inc, 73-82.
[16]	Timoshenko S, Young DH (1955) Vibration Problems in Engineering, ed. 3rd., New York, NY: D. Van Nostrand Co., Inc, 439-440.
[17]	Pelrine R, Kornbluh R, Pei Q, et al. (2000) High-speed electrically actuated elastomers with strain greater than 100%. Science 287: 836-839. doi: 10.1126/science.287.5454.836
[18]	Kofod G (2001) Dielectric elastomer actuators [Ph.D. Thesis] [Kongens Lyngby, Denmark]: The Technical University of Denmark.
[19]	Kofod G (2008) The static actuation of dielectric elastomer actuators: How does pre-stretch improve actuation? Journal Phys D Appl Phys 41: 215405. doi: 10.1088/0022-3727/41/21/215405
[20]	Wissler M, Mazza E (2005) Modeling and simulation of dielectric elastomer actuators. Smart Mater Struct 14: 1396. doi: 10.1088/0964-1726/14/6/032
[21]	Zhu D, Tudor M J, Beeby SP (2010) Strategies for increasing the operating frequency range of vibration energy harvesters: A review. Meas Sci Technol 21: 022001. doi: 10.1088/0957-0233/21/2/022001
[22]	Challa VR, Prasad MG, Fisher FT (2011) Towards an autonomous self-tuning vibration energy harvesting device for wireless sensor network applications. Smart Mater Struct 20: 025004. doi: 10.1088/0964-1726/20/2/025004

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